Double-checking the quantified orbital speed equivalent of light.
Frank Russo - December 21, 2012.
I recently quantified the amended orbital speed equivalent of light, and to really understand what I'm here doing one must have been following my Michelson-Morley work. The earth's orbital speed is 53,198,115.45 m/sec, however, when light has to travel in the direction of this orbital speed of the earth for a given distance, it will have to bridge the orbital velocity's accrued gap because the mirror has moved further forward!
This extra orbital gap tends to slow the orbital speed equivalent to 49,272,606.2 m/sec : this we saw again in my recent writing on the subject... I now just want to briefly double-check this to show that it is correct by doing it from a different angle.
As you no-doubt have seen, after travelling the 11m with the orbital speed, light still has 1.752722466m to bridge before it reaches the mirror... however in the process of reaching the mirror the apparatus travels some 0.169200818 m further, making the total orbital distance travelled equal 1.921923284 m... hence light will appear to bridge this gap more slowly because of the extra distance. In actual fact the slowing down factor would be equal to 1.752722466/1.921923284 which equals 0.911962761 thus converting the 53,198,115.45 to 48,514,700.29 ...
However one must not forget that when travelling with the orbital speed the length is cut so that the interval used is only O.984,618,107 of the full interval. This would convert the 48,514,700.29 to 49,272,606.2 m/sec. As you can see, this alternate way of calculating the orbital speed equivalent of light tallies up with all the previous work thus providing a useful double-check.
In conclusion, I must mention that intuitively one might surmise that a smaller speed for light might mean less time is involved... however, one must not forget that when itemizing an orbital interval, the light's orbital equivalent would occupy the denominator, hence the smaller the value the longer the interval is. It makes me very glad to be able to convey these explanatory background elucidations.